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Finding the Third Proportional to 876,827.53 and 1,315,241.30

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Solution

The third proportional to 876,827.53 and 1,315,241.30 is: 1,972,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,827.53 : 1,315,241.30 = 1,315,241.30 : x
  2. Step 2: Convert to fraction form
    876,827.53/1,315,241.30 = 1,315,241.30/x
  3. Step 3: Cross multiply
    876,827.53x = 1,315,241.30 × 1,315,241.30
  4. Step 4: Simplify right side
    876,827.53x = 1,729,859,669,005.43
  5. Step 5: Solve for x
    x = 1,729,859,669,005.43/876,827.53
  6. Step 6: Final answer
    x = 1,972,861.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.